Multiple Ising Spins Coupled to 2d Quantum Gravity

Journal article

We study a model in which p independent Ising spins are coupled to 2d quantum gravity (in the form of dynamical planar phi-cubed graphs). Consideration is given to the p tends to infinity limit in which the partition function becomes dominated by certain graphs; we identify most of these graphs. A truncated model is solved exactly providing information about the behaviour of the full model in the limit of small beta. Finally, we derive a bound for the critical value of the coupling constant, beta_c and examine the magnetization transition in the limit p tends to zero.

Authors: Harris, MG; Wheater, J

• Publication status: Published
• Journal: Nucl.Phys. B
• Volume: 427
• Issue: 1-2
• Pages: 111-138
• Publication date: 1994-04-28
• DOI: 10.1016/0550-3213(94)90271-2
• ISSN: 0550-3213
• Keywords: hep-th